Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a Tokamak
Blaise Faugeras (1) (2) (3), Amel Ben Abda (4), Jacques Blum (1) (2) (3), Cedric Boulbe (1) (2) (3)
(1) Laboratoire Jean Alexandre Dieudonné
(2) Control, Analysis and Simulations for TOkamak Research
(3) Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle
(4) Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a Tokamak
Blaise Faugeras (1) (2) (3), Amel Ben Abda (4), Jacques Blum (1) (2) (3), Cedric Boulbe (1) (2) (3)
(1) Laboratoire Jean Alexandre Dieudonné
(2) Control, Analysis and Simulations for TOkamak Research
(3) Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle
(4) Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
Résumé
A numerical method for the computation of the magnetic flux in the vacuum surrounding the plasma in a Tokamak is investigated. It is based on the formulation of a Cauchy problem which is solved through the minimization of an energy error functional. Several numerical experiments are conducted which show the efficiency of the method.
